Results 41 to 50 of about 9,842 (165)
Homoclinic solutions for a differential inclusion system involving the p(t)-Laplacian
Advances in Nonlinear Analysis, 2022 The aim of this article is to study nonlinear problem driven by the p(t)p\left(t)-Laplacian with nonsmooth potential. We establish the existence of homoclinic solutions by using variational principle for locally Lipschitz functions and the properties of ...
Cheng Jun, Chen Peng, Zhang Limin
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On the logarithmic Schrodinger equation
, 2013 In the framework of the nonsmooth critical point theory for lower semi-continuous functionals, we propose a direct variational approach to investigate the existence of infinitely many weak solutions for a class of semi-linear elliptic equations with ...
d'Avenia, Pietro +2 more
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Advanced Intelligent Discovery, EarlyView.This article outlines how artificial intelligence could reshape the design of next‐generation transistors as traditional scaling reaches its limits. It discusses emerging roles of machine learning across materials selection, device modeling, and fabrication processes, and highlights hierarchical reinforcement learning as a promising framework for ...
Shoubhanik Nath +4 more
wiley +1 more source
Resonant nonlinear periodic problems with the scalar p-Laplacian and a nonsmooth potential [PDF]
, 2006 We study periodic problems driven by the scalar p-Laplacian with a nonsmooth potential. Using the nonsmooth critical point theory for locally Lipsctiz functions,we prove two existence theorems under conditions of resonance at infinity with respect to ...
Aizicovici, Sergiu +2 more
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Nonhomogeneous Hemivariational Inequalities with Indefinite Potential and Robin Boundary Condition
, 2017 We consider a nonlinear, nonhomogeneous Robin problem with an indefinite potential and a nonsmooth primitive in the reaction term. In fact, the right-hand side of the problem (reaction term) is the Clarke subdifferential of a locally Lipschitz integrand.
Papageorgiou, Nikolaos S. +2 more
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EXISTENCE OF SOLUTION FOR A FRACTIONAL DIFFERENTIAL INCLUSION VIA NONSMOOTH CRITICAL POINT THEORY
Korean Journal of Mathematics, 2015 Summary: This paper is concerned with the existence of solutions to the following fractional differential inclusion \[\begin{cases} -\frac{d}{dx}\left(p {}_0D_x^{-\beta}(u'(x))+q {}_xD_1^{-\beta}(u'(x))\right)\in \partial F_u(x,u),\qquad x\in (0,1),\\ u(0)=u(1)=0,\end{cases}\] where \({}_0D_x^{-\beta}\) and \({}_xD_1^{-\beta}\) are left and right ...
Yang, Bian-Xia, Sun, Hong-Rui
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Controlling Dynamical Systems Into Unseen Target States Using Machine Learning
Advanced Intelligent Systems, EarlyView.Parameter‐aware next‐generation reservoir computing enables efficient, data‐driven control of dynamical systems across unseen target states and nonstationary transitions. The approach suppresses transient behavior while navigating system collapse scenarios with minimal training data—over an order of magnitude less than traditional methods.
Daniel Köglmayr +2 more
wiley +1 more source
Transfer Learning Approaches in Bioprocess Engineering: Opportunities and Challenges
Biotechnology and Bioengineering, EarlyView.ABSTRACT Transfer learning (TL) has recently emerged as a promising approach to overcoming one of the key limitations of bioprocess engineering: data scarcity. By leveraging knowledge from one bioprocess to another, TL allows existing models and data sets to be reused efficiently, accelerating process development, improving prediction accuracy, and ...
Daniel Barón Díaz +3 more
wiley +1 more source
A nonsmooth critical point theory approach to some nonlinear elliptic equations in {${\Bbb R}^n$}
Differential and Integral Equations, 2000 A quasilinear elliptic equation \[ - \sum^{n}_{i,j=1} D_{j}\bigl(a_{ij}(x,u)D_{i}u\bigr) + \frac 12\sum^{n}_{i,j=1} {\partial a_{ij}\over\partial u} (x,u)D_{i}uD_{j}u + b(x)u = f(x,u) \tag{1} \] in \(\mathbb R^{n}\) is studied. Suppose that \(b\in L^\infty_{\text{loc}} (\mathbb R^{n})\) and \(b\geq b_{0}>0\) almost everywhere for a constant \(b_0 ...
GAZZOLA, FILIPPO, RADULESCU V.
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Journal of Forecasting, EarlyView.ABSTRACT We study the accuracy of a variety of parametric price duration‐based realized variance estimators constructed via various financial duration models and compare their forecasting performance with the performance of various nonparametric return‐based realized variance estimators.
Björn Schulte‐Tillmann +2 more
wiley +1 more source